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Finding the Fourth Proportional to 9,782.10, 13,496.00 and 6,247.35

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Solution

The fourth proportional to 9,782.10, 13,496.00 and 6,247.35 is: 8,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.10 : 13,496.00 = 6,247.35 : x
  2. Step 2: Convert to fraction form
    9,782.10/13,496.00 = 6,247.35/x
  3. Step 3: Cross multiply
    9,782.10x = 13,496.00 × 6,247.35
  4. Step 4: Simplify right side
    9,782.10x = 84,314,204.36
  5. Step 5: Solve for x
    x = 84,314,204.36/9,782.10
  6. Step 6: Final answer
    x = 8,619.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.